Simplify: (3 + 2i)(1 − i)

A 5 − i

B 1 + 5i

C 5 + i

D 1 − i

✓ Correct Answer: Option A

3 − 3i + 2i − 2i² = 3 − i + 2 = 5 − i (since i² = −1).

💡 Why is A) the correct answer?

The correct answer to the question "Simplify: (3 + 2i)(1 − i)" is Option A: 5 − i.

The other options — B) 1 + 5i, C) 5 + i, D) 1 − i — are incorrect for this ACT Exam Prep question. As explained above: 3 − 3i + 2i − 2i² = 3 − i + 2 = 5 − i (since i² = −1).

📚 About This ACT Exam Prep Practice Question

This 3-level ACT Exam Prep question from the Mathematics topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free ACT Exam Prep practice test or use flashcards for spaced repetition review.

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Simplify: (3 + 2i)(1 − i)

✓ Correct Answer: Option A

📚 About This ACT Exam Prep Practice Question

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